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Zepler [3.9K]
3 years ago
5

"the sum of the digits of a two-digit number is 12. The difference of the digits is 2. find the number if the units digit is lar

ger than the tens digit"
Mathematics
1 answer:
Stells [14]3 years ago
7 0

let the number be xy then

x + y = 12

y - x = 2 ( because y > x)

adding we get 2y = 14 so y = 7

and x = 12 - 7 = 5

So the number is 57.

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Solve for x in the following equation.
WARRIOR [948]

\huge\text{Hey there!}


\mathsf{5^{x - 2} = 5^8}

\mathsf{5^{x - 2} = 5\times5\times5\times5\times5\times5\times5\times5}

\mathsf{5^{x - 2} = 25\times25\times25\times25}

\mathsf{5^{x - 2} = 625\times625}

\mathsf{5^{x - 2} =390,625}

\large\textsf{Solving for the exponent:}

\mathsf{5^{x - 2} =390,625}

\large\textsf{Take the log (logarithm) to both of the sides:}

\mathsf{log(5^{x - 2} \rightarrow  log(390,625)}

\large\textsf{Simplify it:}

\mathsf{(x - 2) \times(log (5)) \rightarrow log(390,625)}

\large\textsf{Simplify that as well:}

\mathsf{x - 2 = \dfrac{log(390,625)}{log(5)}}

\large\textsf{You get it: }\mathsf{x - 2 = 8}

\large\textsf{ADD by 2 to BOTH of the SIDES:}

\mathsf{x - 2 + 2 = 8 + 2}

\large\textsf{Simplify it:}

\mathsf{x = 8 + 2}

\mathsf{x = 10}


\huge\textsf{Therefore, your answer should be:}

\huge\boxed{\mathsf{x =} \frak{10}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}


~\frak{Amphitrite1040:)}

5 0
2 years ago
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anastassius [24]

Answer:

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Step-by-step explanation:

4 is wrong

8/6 is not same as 6/4

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How can you find 75% of any number?
Aleks04 [339]

Answer:

Step-by-step explanation:

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3 years ago
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Part two for: "HELP ME PLEASEEEE Using the digits 1 - 9, at most one time each, create an improper fraction and a mixed number t
KIM [24]

Answer: 5/3 = 1 10/6

Step-by-step explanation: This is the right answer.

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Mahesh charges $21.50 a month for cutting his neighbor's lawn. How much money will he make in a year? A. $258.00 B. $215.00 C. $
Diano4ka-milaya [45]

Answer:

A. $258.00

Step-by-step explanation:

There are 12 months in a year so you will simply have to multiply $21.50 by 12


21.50 x 12


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